Write down the formula of the hamiltonian used in a typical

Question

Computational Biophysics and Nanoscale Simulations:

1. Write down the formula of the Hamiltonian used in a typical classical atomistic Molecular dynamics simulation. Describe the potential energy terms using only one Simple sentence for each term.

2. Plot on a single graph the Lennard-Jones potential using the parameters σ =3, and ε₁=2, ε₂=3 and ε₃=4. State in one short sentence what is the interpretation of the Parameter ε. Please remember to label your axes properly.

3. Plot on a single graph the Lennard-Jones potential using the parameters ε=3, σ₁=2, σ₂=3 and σ₃=4. State in one short sentence what is the interpretation of the parameterσ. Please remember to label your axes properly.